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Problem Book in Mathematical Analysis
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1 · Limit. Continuity. Differentiability.
Chapter 1.4
Application of Derivatives to the Study of Functions
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On this page
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1.16 · Mean Value Theorems for Differentiable Functions
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1.17 · L'Hôpital's Rule
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1.18 · Taylor's Formula
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1.19 · Computing Limits Using Taylor's Formula
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1.20 · Investigation of Functions
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1.21 · Graphing Functions
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1.22 · Problems on Finding Greatest and Least Values
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1.23 · Numerical Solution of Equations
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1.24 · Vector Functions. Curves
Section 1.16
Mean Value Theorems for Differentiable Functions
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Subsection 1.16.1
Worked Examples
Subsection 1.16.2
Problems
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Section 1.17
L'Hôpital's Rule
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Subsection 1.17.1
Worked Examples
Subsection 1.17.2
Problems
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Section 1.18
Taylor's Formula
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Subsection 1.18.1
Worked Examples
Subsection 1.18.2
Problems
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Section 1.19
Computing Limits Using Taylor's Formula
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Subsection 1.19.1
Worked Examples
Subsection 1.19.2
Problems
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Section 1.20
Investigation of Functions
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Subsection 1.20.1
Worked Examples
Subsection 1.20.2
Problems
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Section 1.21
Graphing Functions
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Subsection 1.21.1
Worked Examples
Subsection 1.21.2
Problems
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Section 1.22
Problems on Finding Greatest and Least Values
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Subsection 1.22.1
Worked Examples
Subsection 1.22.2
Problems
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48
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94%
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Section 1.23
Numerical Solution of Equations
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Subsection 1.23.1
Worked Examples
Subsection 1.23.2
Problems
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62%
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Section 1.24
Vector Functions. Curves
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35%
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Subsection 1.24.1
Worked Examples
Subsection 1.24.2
Problems
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35%
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